Newform search results

Results (1-50 of 79 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
423.1.d.a	$423$	$1$	423.d	47.b	$2$	$2$	$2$	$0.211$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-47}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}+(-1+\beta )q^{7}+\cdots\)
423.1.f.a	$423$	$1$	423.f	423.f	$6$	$2$	$1$	$0.211$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(-2\)	\(2\)	\(0\)	\(1\)		$1$		\(q+\zeta_{6}^{2}q^{2}+q^{3}-3\zeta_{6}q^{4}+2\zeta_{6}^{2}q^{6}+\cdots\)
423.1.f.b	$423$	$1$	423.f	423.f	$6$	$8$	$4$	$0.211$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(2\)	\(-2\)	\(0\)	\(-1\)		$1$		\(q+(-\zeta_{30}^{11}+\zeta_{30}^{14})q^{2}+\zeta_{30}^{12}q^{3}+\cdots\)
423.2.a.a	$423$	$2$	423.a	1.a	$1$	$1$	$1$	$3.378$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-3\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-3q^{5}+q^{7}+6q^{10}+\cdots\)
423.2.a.b	$423$	$2$	423.a	1.a	$1$	$1$	$1$	$3.378$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-3q^{7}-2q^{10}+\cdots\)
423.2.a.c	$423$	$2$	423.a	1.a	$1$	$1$	$1$	$3.378$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{5}-3q^{7}+3q^{11}-4q^{13}+\cdots\)
423.2.a.d	$423$	$2$	423.a	1.a	$1$	$1$	$1$	$3.378$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-2q^{5}-3q^{8}-2q^{10}+\cdots\)
423.2.a.e	$423$	$2$	423.a	1.a	$1$	$1$	$1$	$3.378$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+4q^{7}-3q^{8}+6q^{13}+\cdots\)
423.2.a.f	$423$	$2$	423.a	1.a	$1$	$1$	$1$	$3.378$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+3q^{5}-3q^{7}+6q^{10}+\cdots\)
423.2.a.g	$423$	$2$	423.a	1.a	$1$	$1$	$1$	$3.378$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(3\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+3q^{5}+q^{7}+6q^{10}+\cdots\)
423.2.a.h	$423$	$2$	423.a	1.a	$1$	$2$	$2$	$3.378$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2+\beta )q^{4}+(-1+\beta )q^{5}+(1+\cdots)q^{7}+\cdots\)
423.2.a.i	$423$	$2$	423.a	1.a	$1$	$3$	$3$	$3.378$	3.3.316.1	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
423.2.a.j	$423$	$2$	423.a	1.a	$1$	$3$	$3$	$3.378$	3.3.316.1	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-2\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{5}+\cdots\)
423.2.a.k	$423$	$2$	423.a	1.a	$1$	$4$	$4$	$3.378$	4.4.1957.1	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
423.2.c.a	$423$	$2$	423.c	141.c	$2$	$4$	$4$	$3.378$	\(\Q(\sqrt{-2}, \sqrt{5})\)	$_{}$	None	None		$2$	$1$	\(0\)	\(0\)	\(-12\)	\(-8\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-1+\beta _{3})q^{4}-3q^{5}+(-2+\cdots)q^{7}+\cdots\)
423.2.c.b	$423$	$2$	423.c	141.c	$2$	$4$	$4$	$3.378$	\(\Q(\sqrt{-2}, \sqrt{5})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(12\)	\(-8\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-1+\beta _{3})q^{4}+3q^{5}+(-2+\cdots)q^{7}+\cdots\)
423.2.c.c	$423$	$2$	423.c	141.c	$2$	$8$	$8$	$3.378$	8.0.3057647616.5	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(16\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{4}q^{2}-\beta _{6}q^{4}+\beta _{2}q^{5}+2q^{7}+\beta _{1}q^{8}+\cdots\)
423.2.e.a	$423$	$2$	423.e	9.c	$3$	$2$	$1$	$3.378$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(-1\)	\(0\)	\(-4\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots\)
423.2.e.b	$423$	$2$	423.e	9.c	$3$	$2$	$1$	$3.378$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots\)
423.2.e.c	$423$	$2$	423.e	9.c	$3$	$2$	$1$	$3.378$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(0\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots\)
423.2.e.d	$423$	$2$	423.e	9.c	$3$	$34$	$17$	$3.378$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-1\)	\(0\)	\(14\)			$\mathrm{SU}(2)[C_{3}]$
423.2.e.e	$423$	$2$	423.e	9.c	$3$	$52$	$26$	$3.378$		$_{}$	None	None		$2$	$0$	\(-1\)	\(-1\)	\(4\)	\(-9\)			$\mathrm{SU}(2)[C_{3}]$
423.2.g.a	$423$	$2$	423.g	423.g	$6$	$20$	$10$	$3.378$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}\cdot 3^{2}$	$\mathrm{U}(1)[D_{6}]$	\(q-\beta _{6}q^{2}-\beta _{2}q^{3}+(-2\beta _{1}-\beta _{7}+\beta _{11}+\cdots)q^{4}+\cdots\)
423.2.g.b	$423$	$2$	423.g	423.g	$6$	$72$	$36$	$3.378$		$_{}$	None	None		$4$	$0$	\(-6\)	\(-2\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{6}]$
423.2.i.a	$423$	$2$	423.i	47.c	$23$	$66$	$3$	$3.378$		$_{}$	None	None		$2$	$0$	\(21\)	\(0\)	\(15\)	\(-19\)			$\mathrm{SU}(2)[C_{23}]$
423.2.i.b	$423$	$2$	423.i	47.c	$23$	$88$	$4$	$3.378$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{23}]$
423.2.i.c	$423$	$2$	423.i	47.c	$23$	$88$	$4$	$3.378$		$_{}$	None	None		$2$	$0$	\(2\)	\(0\)	\(4\)	\(-2\)			$\mathrm{SU}(2)[C_{23}]$
423.2.i.d	$423$	$2$	423.i	47.c	$23$	$176$	$8$	$3.378$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{23}]$
423.2.k.a	$423$	$2$	423.k	141.g	$46$	$352$	$16$	$3.378$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{46}]$
423.2.m.a	$423$	$2$	423.m	423.m	$69$	$2024$	$46$	$3.378$		$_{}$	None	None		$4$	$0$	\(-21\)	\(-44\)	\(-23\)	\(-21\)			$\mathrm{SU}(2)[C_{69}]$
423.2.o.a	$423$	$2$	423.o	423.o	$138$	$2024$	$46$	$3.378$		$_{}$	None	None		$4$	$0$	\(-63\)	\(-44\)	\(-69\)	\(-21\)			$\mathrm{SU}(2)[C_{138}]$
423.3.b.a	$423$	$3$	423.b	3.b	$2$	$32$	$32$	$11.526$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
423.3.d.a	$423$	$3$	423.d	47.b	$2$	$2$	$2$	$11.526$	\(\Q(\sqrt{-78}) \)	$_{}$	None	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}-3q^{4}-\beta q^{5}-4q^{7}-7q^{8}+\cdots\)
423.3.d.b	$423$	$3$	423.d	47.b	$2$	$5$	$5$	$11.526$	5.5.6903125.1	$_{}$	\(\Q(\sqrt{-47}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{2}+(4+\beta _{2})q^{4}+(-2\beta _{1}-\beta _{4})q^{7}+\cdots\)
423.3.d.c	$423$	$3$	423.d	47.b	$2$	$16$	$16$	$11.526$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-12\)		$2^{7}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{9}q^{2}+(2+\beta _{2})q^{4}+\beta _{8}q^{5}+(-1+\cdots)q^{7}+\cdots\)
423.3.d.d	$423$	$3$	423.d	47.b	$2$	$16$	$16$	$11.526$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(12\)		$2^{11}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{10}q^{2}+(2+\beta _{14})q^{4}-\beta _{1}q^{5}+(1+\cdots)q^{7}+\cdots\)
423.3.f.a	$423$	$3$	423.f	423.f	$6$	$20$	$10$	$11.526$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{6}\cdot 3^{2}$	$\mathrm{U}(1)[D_{6}]$	\(q+\beta _{4}q^{2}+(-\beta _{3}+\beta _{14})q^{3}+(-4\beta _{1}+\cdots)q^{4}+\cdots\)
423.3.f.b	$423$	$3$	423.f	423.f	$6$	$168$	$84$	$11.526$		$_{}$	None	None		$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{6}]$
423.3.h.a	$423$	$3$	423.h	9.d	$6$	$184$	$92$	$11.526$		$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(2\)			$\mathrm{SU}(2)[C_{6}]$
423.3.j.a	$423$	$3$	423.j	47.d	$46$	$154$	$7$	$11.526$		$_{}$	None	None		$2$	$0$	\(21\)	\(0\)	\(23\)	\(-15\)			$\mathrm{SU}(2)[C_{46}]$
423.3.j.b	$423$	$3$	423.j	47.d	$46$	$352$	$16$	$11.526$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{46}]$
423.3.j.c	$423$	$3$	423.j	47.d	$46$	$352$	$16$	$11.526$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(12\)			$\mathrm{SU}(2)[C_{46}]$
423.3.l.a	$423$	$3$	423.l	141.h	$46$	$704$	$32$	$11.526$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{46}]$
423.3.n.a	$423$	$3$	423.n	423.n	$138$	$4136$	$94$	$11.526$		$_{}$	None	None		$4$	$0$	\(-63\)	\(-44\)	\(-81\)	\(-21\)			$\mathrm{SU}(2)[C_{138}]$
423.3.p.a	$423$	$3$	423.p	423.p	$138$	$4136$	$94$	$11.526$		$_{}$	None	None		$4$	$0$	\(-21\)	\(-44\)	\(-23\)	\(-21\)			$\mathrm{SU}(2)[C_{138}]$
423.4.a.a	$423$	$4$	423.a	1.a	$1$	$2$	$2$	$24.958$	\(\Q(\sqrt{111}) \)	$_{}$	None	None	✓	$1$	$1$	\(-8\)	\(0\)	\(-6\)	\(20\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+8q^{4}+(-3-\beta )q^{5}+(10-2\beta )q^{7}+\cdots\)
423.4.a.b	$423$	$4$	423.a	1.a	$1$	$3$	$3$	$24.958$	3.3.1101.1	$_{}$	None	None	✓	$1$	$1$	\(5\)	\(0\)	\(6\)	\(-45\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta _{2})q^{2}+(2+2\beta _{1}+3\beta _{2})q^{4}+\cdots\)
423.4.a.c	$423$	$4$	423.a	1.a	$1$	$5$	$5$	$24.958$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(0\)	\(4\)	\(-26\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-2\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
423.4.a.d	$423$	$4$	423.a	1.a	$1$	$5$	$5$	$24.958$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(0\)	\(-10\)	\(10\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3-\beta _{1}+\beta _{2}-\beta _{3})q^{4}+(-2+\cdots)q^{5}+\cdots\)
423.4.a.e	$423$	$4$	423.a	1.a	$1$	$5$	$5$	$24.958$	5.5.13374304.1	$_{}$	None	None	✓	$1$	$0$	\(5\)	\(0\)	\(34\)	\(-26\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{2}+(1-\beta _{1}+2\beta _{3}+\beta _{4})q^{4}+\cdots\)